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andrew11 [14]
3 years ago
6

At the local playground, a 21-kg child sits on the right end of a horizontal teeter-totter, 1.8 m from the pivot point. On the l

eft side of the pivot an adult pushes straight down on the teeter-totter with a force of 151 N.In which direction does the teeter-totter rotate if the adult applies the force at a distance of 3.0 m from the pivot? (clockwise/ counterclockwise)

Physics
2 answers:
Novosadov [1.4K]3 years ago
8 0

The teeter-totter rotates counterclockwise

\texttt{ }

<h3>Further explanation</h3>

<em>Let's recall </em><em>Moment of Force</em><em> as follows:</em>

\boxed {\tau = F d }

<em>where:</em>

<em>τ = moment of force ( Nm )</em>

<em>F = magnitude of force ( N )</em>

<em>d = perpendicular distance between force and pivot ( m )</em>

Let us now tackle the problem !

<u>Given:</u>

mass of child = m_c = 21 kg

distance between pivot and child = d_c = 1.8 m

magnitude of force = F = 151 N

distance between force and pivot = d = 3.0 m

<u>Asked:</u>

direction of rotation = ?

<u>Solution:</u>

<em>Firstly , we will find </em><em>clockwise moment</em><em> by weight of the child:</em>

\tau_{clockwise} = w \times d_c

\tau_{clockwise} = mg \times d_c

\tau_{clockwise} = ( 21 \times 9.8 ) \times 1.8

\boxed{\tau_{clockwise} = 370.44 \texttt{ Nm}}

\texttt{ }

<em>Next, we will find </em><em>counterclockwise moment </em><em>by pushing force:</em>

\tau_{counterclockwise} = F \times d

\tau_{counterclockwise} = 151 \times 3.0

\boxed{\tau_{counterclockwise} = 453 \texttt{ Nm}}

\texttt{ }

<h3>Conclusion:</h3>

\tau_{counterclockwise} > \tau_{clockwise}

\texttt{The teeter-totter rotates \boxed{counterclockwise}}

\texttt{ }

<h3>Learn more</h3>
  • Impacts of Gravity : brainly.com/question/5330244
  • Effect of Earth’s Gravity on Objects : brainly.com/question/8844454
  • The Acceleration Due To Gravity : brainly.com/question/4189441
  • Newton's Law of Motion: brainly.com/question/10431582
  • Example of Newton's Law: brainly.com/question/498822

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Moment of Force

Alja [10]3 years ago
3 0

Answer:

Counterclockwise

Explanation:

We need to calculate the clocwkise and the counterclockwise torque.

The clockwise torque is the one generated by the child sitting on the right. This torque is given by:

M_C = F d

where

F=mg=(21 kg)(9.8 m/s^2)=205.8 N is the force exerted by the child (his weight)

d = 1.8 m is the distance from the pivot point

So, the clockwise torque is

M_C = (205.8 N)(1.8 m)=370.4 Nm

The counterclockwise torque is the one generated by the adult pushing on the left, and it is given by

M_A = F d

where

F = 151 N is the force applied

d = 3.0 m is the distance from the pivot

Substituting,

M_A = (151 N)(3.0 m)=453 Nm

So, the net torque is

M_A - M_C = 453 Nm - 370.4 Nm=82.6 Nm

And since the counterclockwise momentum is greater than the clockwise one, the teeter-totter will rotate counterclockwise.

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3 years ago
A tennis player swings and hits the ball away. How does the force of the tennis racket affect the motion of the ball
defon

The force of the racket affects the ball's motion because it changes the momentum of the ball.

<h3>Impulse received by the ball</h3>

The impulse received by the ball through the racket affects the motion because it changes the momentum of the ball.

The ball which is initially at rest, will gain momentum after been hit with the racket.

J = ΔP = Ft

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Thus, the force of the racket affects the ball's motion because it changes the momentum of the ball.

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<u>Answer:</u>

<em>The initial distance between the trains is 1450 m. </em>

<u>Explanation:</u>

In the question two trains are of equal length 400 m and moves at a uniform speed of 72 km/h. train A is moving ahead of train B. If the train B has to overtake train A it should accelerate.

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<em>a=1 m/s^2</em>

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<em>we have to convert this speed into m/s  </em>

<em>u=72 \times 5/18=20 m/s</em>

<em>Distance covered in accelerating phase  S=ut+1/2  at^2  </em>

<em>=20 \times 50+1/2 \times 1 \times 50^2</em>

<em>=1000+1250=2250 m </em>

If  a train is just behind another, the distance covered by the train located behind during overtaking phase will be equal to the sum of the lengths of the trains.

<em>Here length of train A+length of train B=400+400=800 m</em>

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